Question

Nu înțeleg cum vin, ma ajutati va rog?!!
1.
$log_{5}(3) = a$
Calculati:
$log_{5}(90)$
$log_{5}(36)$
$log_{5}(48)$

2.
$log_{5}(2) = b$
Calculati:
$log_{5}(90)$
$log_{5}(36)$
$log_{5}(48)$

​

Answer 1

1)

a)

log(5)90=

=log(5)3•3•10=

=log(5)3+log(5)3+log(5)2•5=

=a+a+log(5)5+log(5)2=

=2a+1+log(5)2

b)

log(5)36=log(5)3•3•4=

=log(5)3+log(5)3+log(5)2²=

=2a+2log(5)2

Formula pe care trebuie sa o folosești

log(a)x•y•...•k = log(a)x+log(a)y+...+log(a)k